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@article{1642437,
author = {Almeida, Jorge and Klíma, Ondřej},
article_location = {BASEL},
article_number = {2},
doi = {http://dx.doi.org/10.1007/s00025-019-0998-7},
keywords = {Ordered semigroup; pseudovariety; completely regular semigroup; band; complete lattice homomorphism},
language = {eng},
issn = {1422-6383},
journal = {RESULTS IN MATHEMATICS},
title = {Pseudovarieties of Ordered Completely Regular Semigroups},
url = {https://link.springer.com/article/10.1007/s00025-019-0998-7},
volume = {74},
year = {2019}
}
TY - JOUR
ID - 1642437
AU - Almeida, Jorge - Klíma, Ondřej
PY - 2019
TI - Pseudovarieties of Ordered Completely Regular Semigroups
JF - RESULTS IN MATHEMATICS
VL - 74
IS - 2
SP - 1-28
EP - 1-28
PB - SPRINGER BASEL AG
SN - 14226383
KW - Ordered semigroup
KW - pseudovariety
KW - completely regular semigroup
KW - band
KW - complete lattice homomorphism
UR - https://link.springer.com/article/10.1007/s00025-019-0998-7
L2 - https://link.springer.com/article/10.1007/s00025-019-0998-7
N2 - This paper is a contribution to the theory of finite semigroups and their classification in pseudovarieties, which is motivated by its connections with computer science. The question addressed is what role is played by the consideration of an order compatible with the semigroup operation. In the case of unions of groups, so-called completely regular semigroups, the problem of which new pseudovarieties appear in the ordered context is solved. As applications, it is shown that the lattice of pseudovarieties of ordered completely regular semigroups is modular and that taking the intersection with the pseudovariety of bands defines a complete endomorphism of the lattice of all pseudovarieties of ordered semigroups.
ER -
ALMEIDA, Jorge a Ondřej KLÍMA. Pseudovarieties of Ordered Completely Regular Semigroups. \textit{RESULTS IN MATHEMATICS}. BASEL: SPRINGER BASEL AG, 2019, roč.~74, č.~2, s.~1-28. ISSN~1422-6383. Dostupné z: https://dx.doi.org/10.1007/s00025-019-0998-7.
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